To find the volume of the peanut butter jar, we assume it is in the shape of a cylinder. The formula for the volume \( V \) of a cylinder is given by:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius of the base,
- \( h \) is the height.
The width of the jar is given as 10 centimeters, which means the diameter is 10 centimeters. Thus, the radius \( r \) would be:
\[ r = \frac{\text{diameter}}{2} = \frac{10 \text{ cm}}{2} = 5 \text{ cm} \]
The height \( h \) is given as 16 centimeters.
Now we can substitute the values into the volume formula:
\[ V = 3.14 \times (5 \text{ cm})^2 \times 16 \text{ cm} \]
First, calculate \( (5 \text{ cm})^2 \):
\[ (5 \text{ cm})^2 = 25 \text{ cm}^2 \]
Then substitute that back into the volume formula:
\[ V = 3.14 \times 25 \text{ cm}^2 \times 16 \text{ cm} \]
Now calculate \( 25 \text{ cm}^2 \times 16 \text{ cm} \):
\[ 25 \text{ cm}^2 \times 16 \text{ cm} = 400 \text{ cm}^3 \]
Now substitute this value back into the volume equation:
\[ V = 3.14 \times 400 \text{ cm}^3 \]
Finally, calculate \( 3.14 \times 400 \):
\[ V = 1256 \text{ cm}^3 \]
Thus, the volume of the peanut butter jar is:
1,256 cubic centimeters.